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| 1 | +//* This file is part of CRANE, an open-source |
| 2 | +//* application for the simulation of plasmas |
| 3 | +//* https://github.com/lcpp-org/crane |
| 4 | +//* |
| 5 | +//* CRANE is powered by the MOOSE Framework |
| 6 | +//* https://www.mooseframework.org |
| 7 | +//* |
| 8 | +//* Licensed under LGPL 2.1, please see LICENSE for details |
| 9 | +//* https://www.gnu.org/licenses/lgpl-2.1.html |
| 10 | + |
| 11 | +#include "ElectronEnergyTermElasticTownsend.h" |
| 12 | + |
| 13 | +registerMooseObject("CraneApp", ElectronEnergyTermElasticTownsend); |
| 14 | + |
| 15 | +template <> |
| 16 | +InputParameters |
| 17 | +validParams<ElectronEnergyTermElasticTownsend>() |
| 18 | +{ |
| 19 | + InputParameters params = validParams<Kernel>(); |
| 20 | + params.addRequiredCoupledVar("potential", "The potential."); |
| 21 | + params.addRequiredCoupledVar("electron_species", "The electron density."); |
| 22 | + params.addRequiredCoupledVar("target_species", "The target species variable."); |
| 23 | + params.addRequiredParam<std::string>("reaction", |
| 24 | + "Stores the name of the reaction (townsend) coefficient, " |
| 25 | + "unique to each individual reaction."); |
| 26 | + params.addRequiredParam<Real>("position_units", "Units of position."); |
| 27 | + return params; |
| 28 | +} |
| 29 | + |
| 30 | +ElectronEnergyTermElasticTownsend::ElectronEnergyTermElasticTownsend( |
| 31 | + const InputParameters & parameters) |
| 32 | + : Kernel(parameters), |
| 33 | + _r_units(1. / getParam<Real>("position_units")), |
| 34 | + _diffem(getMaterialProperty<Real>("diffem")), |
| 35 | + _muem(getMaterialProperty<Real>("muem")), |
| 36 | + _alpha(getMaterialProperty<Real>("alpha_" + getParam<std::string>("reaction"))), |
| 37 | + _d_iz_d_actual_mean_en(getMaterialProperty<Real>("d_iz_d_actual_mean_en")), |
| 38 | + _d_muem_d_actual_mean_en(getMaterialProperty<Real>("d_muem_d_actual_mean_en")), |
| 39 | + _d_diffem_d_actual_mean_en(getMaterialProperty<Real>("d_diffem_d_actual_mean_en")), |
| 40 | + // _massem(getMaterialProperty<Real>("mass" + (*getVar("electron_species",0)).name())), |
| 41 | + _massGas(getMaterialProperty<Real>("mass" + (*getVar("target_species", 0)).name())), |
| 42 | + _d_el_d_actual_mean_en(getMaterialProperty<Real>("d_el_d_actual_mean_en")), |
| 43 | + _grad_potential(coupledGradient("potential")), |
| 44 | + _em(coupledValue("electron_species")), |
| 45 | + _grad_em(coupledGradient("electron_species")), |
| 46 | + _potential_id(coupled("potential")), |
| 47 | + _em_id(coupled("electron_species")) |
| 48 | +{ |
| 49 | + _massem = 9.11e-31; |
| 50 | +} |
| 51 | + |
| 52 | +ElectronEnergyTermElasticTownsend::~ElectronEnergyTermElasticTownsend() {} |
| 53 | + |
| 54 | +Real |
| 55 | +ElectronEnergyTermElasticTownsend::computeQpResidual() |
| 56 | +{ |
| 57 | + Real electron_flux_mag = (-_muem[_qp] * -_grad_potential[_qp] * _r_units * std::exp(_em[_qp]) - |
| 58 | + _diffem[_qp] * std::exp(_em[_qp]) * _grad_em[_qp] * _r_units) |
| 59 | + .norm(); |
| 60 | + Real Eel = -3.0 * _massem / _massGas[_qp] * 2.0 / 3 * std::exp(_u[_qp] - _em[_qp]); |
| 61 | + Real el_term = _alpha[_qp] * electron_flux_mag * Eel; |
| 62 | + |
| 63 | + return -_test[_i][_qp] * el_term; |
| 64 | +} |
| 65 | + |
| 66 | +Real |
| 67 | +ElectronEnergyTermElasticTownsend::computeQpJacobian() |
| 68 | +{ |
| 69 | + Real d_actual_mean_en_d_mean_en = std::exp(_u[_qp] - _em[_qp]) * _phi[_j][_qp]; |
| 70 | + Real d_el_d_mean_en = _d_el_d_actual_mean_en[_qp] * d_actual_mean_en_d_mean_en; |
| 71 | + Real d_muem_d_mean_en = _d_muem_d_actual_mean_en[_qp] * d_actual_mean_en_d_mean_en; |
| 72 | + Real d_diffem_d_mean_en = _d_diffem_d_actual_mean_en[_qp] * d_actual_mean_en_d_mean_en; |
| 73 | + |
| 74 | + RealVectorValue electron_flux = |
| 75 | + -_muem[_qp] * -_grad_potential[_qp] * _r_units * std::exp(_em[_qp]) - |
| 76 | + _diffem[_qp] * std::exp(_em[_qp]) * _grad_em[_qp] * _r_units; |
| 77 | + RealVectorValue d_electron_flux_d_mean_en = |
| 78 | + -d_muem_d_mean_en * -_grad_potential[_qp] * _r_units * std::exp(_em[_qp]) - |
| 79 | + d_diffem_d_mean_en * std::exp(_em[_qp]) * _grad_em[_qp] * _r_units; |
| 80 | + Real electron_flux_mag = electron_flux.norm(); |
| 81 | + Real d_electron_flux_mag_d_mean_en = electron_flux * d_electron_flux_d_mean_en / |
| 82 | + (electron_flux_mag + std::numeric_limits<double>::epsilon()); |
| 83 | + |
| 84 | + Real Eel = -3.0 * _massem / _massGas[_qp] * 2.0 / 3 * std::exp(_u[_qp] - _em[_qp]); |
| 85 | + Real d_Eel_d_mean_en = |
| 86 | + -3.0 * _massem / _massGas[_qp] * 2.0 / 3 * std::exp(_u[_qp] - _em[_qp]) * _phi[_j][_qp]; |
| 87 | + Real d_el_term_d_mean_en = |
| 88 | + (electron_flux_mag * d_el_d_mean_en + _alpha[_qp] * d_electron_flux_mag_d_mean_en) * Eel + |
| 89 | + electron_flux_mag * _alpha[_qp] * d_Eel_d_mean_en; |
| 90 | + |
| 91 | + return -_test[_i][_qp] * d_el_term_d_mean_en; |
| 92 | +} |
| 93 | + |
| 94 | +Real |
| 95 | +ElectronEnergyTermElasticTownsend::computeQpOffDiagJacobian(unsigned int jvar) |
| 96 | +{ |
| 97 | + Real d_actual_mean_en_d_em = -std::exp(_u[_qp] - _em[_qp]) * _phi[_j][_qp]; |
| 98 | + Real d_el_d_em = _d_el_d_actual_mean_en[_qp] * d_actual_mean_en_d_em; |
| 99 | + Real d_muem_d_em = _d_muem_d_actual_mean_en[_qp] * d_actual_mean_en_d_em; |
| 100 | + Real d_diffem_d_em = _d_diffem_d_actual_mean_en[_qp] * d_actual_mean_en_d_em; |
| 101 | + |
| 102 | + RealVectorValue electron_flux = |
| 103 | + -_muem[_qp] * -_grad_potential[_qp] * _r_units * std::exp(_em[_qp]) - |
| 104 | + _diffem[_qp] * std::exp(_em[_qp]) * _grad_em[_qp] * _r_units; |
| 105 | + RealVectorValue d_electron_flux_d_potential = |
| 106 | + -_muem[_qp] * -_grad_phi[_j][_qp] * _r_units * std::exp(_em[_qp]); |
| 107 | + RealVectorValue d_electron_flux_d_em = |
| 108 | + -d_muem_d_em * -_grad_potential[_qp] * _r_units * std::exp(_em[_qp]) - |
| 109 | + _muem[_qp] * -_grad_potential[_qp] * _r_units * std::exp(_em[_qp]) * _phi[_j][_qp] - |
| 110 | + d_diffem_d_em * std::exp(_em[_qp]) * _grad_em[_qp] * _r_units - |
| 111 | + _diffem[_qp] * std::exp(_em[_qp]) * _phi[_j][_qp] * _grad_em[_qp] * _r_units - |
| 112 | + _diffem[_qp] * std::exp(_em[_qp]) * _grad_phi[_j][_qp] * _r_units; |
| 113 | + Real electron_flux_mag = electron_flux.norm(); |
| 114 | + Real d_electron_flux_mag_d_potential = |
| 115 | + electron_flux * d_electron_flux_d_potential / |
| 116 | + (electron_flux_mag + std::numeric_limits<double>::epsilon()); |
| 117 | + Real d_electron_flux_mag_d_em = electron_flux * d_electron_flux_d_em / |
| 118 | + (electron_flux_mag + std::numeric_limits<double>::epsilon()); |
| 119 | + |
| 120 | + Real Eel = -3.0 * _massem / _massGas[_qp] * 2.0 / 3 * std::exp(_u[_qp] - _em[_qp]); |
| 121 | + Real d_Eel_d_em = |
| 122 | + -3.0 * _massem / _massGas[_qp] * 2.0 / 3 * std::exp(_u[_qp] - _em[_qp]) * -_phi[_j][_qp]; |
| 123 | + Real d_Eel_d_potential = 0.0; |
| 124 | + Real d_el_term_d_em = |
| 125 | + (electron_flux_mag * d_el_d_em + _alpha[_qp] * d_electron_flux_mag_d_em) * Eel + |
| 126 | + electron_flux_mag * _alpha[_qp] * d_Eel_d_em; |
| 127 | + Real d_el_term_d_potential = (_alpha[_qp] * d_electron_flux_mag_d_potential) * Eel + |
| 128 | + electron_flux_mag * _alpha[_qp] * d_Eel_d_potential; |
| 129 | + |
| 130 | + if (jvar == _potential_id) |
| 131 | + return -_test[_i][_qp] * d_el_term_d_potential; |
| 132 | + |
| 133 | + else if (jvar == _em_id) |
| 134 | + return -_test[_i][_qp] * d_el_term_d_em; |
| 135 | + |
| 136 | + else |
| 137 | + return 0.0; |
| 138 | +} |
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